The 32-year-old hast just over a year remaining on his current contract with the Reds.
“The club will give me a new contract if they want to,” he told the Sunday Times.
“If not it doesn’t matter, I’ll still play my best and if I have to move then I’ll move, no problem. It wouldn’t bother me.”
Carragher insists he is not scared of ‘making big decisions’, having retired from international football due to a lack of opportunities.
He continued: “I made the England decision quickly and didn’t dwell on it, and I’m not scared of making big decisions.
“It’s a club thing. It’s down to them. I’ll keep playing and see where it takes me.”